37 citations · 87 across the 3 of their papers we have counts for
3 papers
math.ST2006★ 37 cited
Rates of convergence for nonparametric deconvolution
Claire Lacour
This Note presents original rates of convergence for the deconvolution problem. We assume that both the estimated density and noise density are supersmooth and we compute the risk…
math.ST2006★ 21 cited
Adaptive estimation of the transition density of a particular hidden Markov chain
Claire Lacour
We study the following model of hidden Markov chain: , with a real-valued positive recurrent and stationary Markov chain and $(ε_i)_{1\leq i\leq…
math.ST2006★ 29 cited
Nonparametric estimation of the stationary density and the transition density of a Markov chain
Claire Lacour
In this paper, we study first the problem of nonparametric estimation of the stationary density of a discrete-time Markov chain . We consider a collection of projection…